Mathematics
The dimensions of a metallic cuboid are 100 cm × 80 cm × 64 cm. It is melted and recast into a cube. Find :
(i) the edge of the cube,
(ii) the surface area of the cube.
Related Questions
(i) How many cubic cm of iron are there in an open box whose external dimensions are 36 cm, 25 cm and 16.5 cm, the iron being 1.5 cm thick throughout ?
(ii) If 1 cm3 of iron weighs 15 g, find the weight of the empty box in kg.
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, find the edge of third smaller cube.
The square on the diagonal of a cube has an area of 1875 cm2. Calculate :
(i) the side of the cube,
(ii) the surface area of the cube.
The areas of three adjacent faces of a cuboid are x, y and z sq. units. If the volume is V cubic units, prove that V2 = xyz.